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Finding the Third Proportional to 2,180,515,197 and 4,755,680,694

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Solution

The third proportional to 2,180,515,197 and 4,755,680,694 is: 10,372,089,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,515,197 : 4,755,680,694 = 4,755,680,694 : x
  2. Step 2: Convert to fraction form
    2,180,515,197/4,755,680,694 = 4,755,680,694/x
  3. Step 3: Cross multiply
    2,180,515,197x = 4,755,680,694 × 4,755,680,694
  4. Step 4: Simplify right side
    2,180,515,197x = 22,616,498,863,284,322,304
  5. Step 5: Solve for x
    x = 22,616,498,863,284,322,304/2,180,515,197
  6. Step 6: Final answer
    x = 10,372,089,538.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.